Bicrossed products induced by Poisson vector fields and their integrability

Samson Apourewagne Djiba, Aissa Wade

Research output: Contribution to journalArticle

Abstract

First we show that, associated to any Poisson vector field E on a Poisson manifold (M,p), there is a canonical Lie algebroid structure on the first jet bundle J1M which, depends only on the cohomology class of E. We then introduce the notion of a cosymplectic groupoid and we discuss the integrability of the first jet bundle into a cosymplectic groupoid. Finally, we give applications to Atiyah classes and L∞-Algebras.

Original languageEnglish (US)
Article number1650022
JournalInternational Journal of Geometric Methods in Modern Physics
Volume13
Issue number3
DOIs
StatePublished - Mar 1 2016

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All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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